Here's a best friend that won't let you down and this little tool does the trick.  This multi-purpose tool will remove threads, tie in loose threads, manage tension, repairing finished projects when a thread has loosened or snagged, plus, it can be used as a laying tool when you are in a pinch. Choose from 3 different sizes in the drop down, #20, #22, and #24.

Both ends have multiple uses.  Comes in a handy storage tube.

Overall size is 4"